x^2-4x+4=15625

Solution for x^2-4x+4=15625 equation:

Simplifying
x2 + -4x + 4 = 15625

Reorder the terms:
4 + -4x + x2 = 15625

Solving
4 + -4x + x2 = 15625

Solving for variable 'x'.

Reorder the terms:
4 + -15625 + -4x + x2 = 15625 + -15625

Combine like terms: 4 + -15625 = -15621
-15621 + -4x + x2 = 15625 + -15625

Combine like terms: 15625 + -15625 = 0
-15621 + -4x + x2 = 0

Factor a trinomial.
(-123 + -1x)(127 + -1x) = 0

Subproblem 1
Set the factor '(-123 + -1x)' equal to zero and attempt to solve:

Simplifying
-123 + -1x = 0

Solving
-123 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '123' to each side of the equation.
-123 + 123 + -1x = 0 + 123

Combine like terms: -123 + 123 = 0
0 + -1x = 0 + 123
-1x = 0 + 123

Combine like terms: 0 + 123 = 123
-1x = 123

Divide each side by '-1'.
x = -123

Simplifying
x = -123
Subproblem 2
Set the factor '(127 + -1x)' equal to zero and attempt to solve:

Simplifying
127 + -1x = 0

Solving
127 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-127' to each side of the equation.
127 + -127 + -1x = 0 + -127

Combine like terms: 127 + -127 = 0
0 + -1x = 0 + -127
-1x = 0 + -127

Combine like terms: 0 + -127 = -127
-1x = -127

Divide each side by '-1'.
x = 127

Simplifying
x = 127
Solution
x = {-123, 127}